Jaypee Institute of Information Technology (JIIT) 2008 B.E test 3 : signals & systems - Question Paper
jaypfh i.Nivr.Rsrrv of information technology, waknaghat
TEST - 3 SEMESTER. 2008
COURSE CODE: 07B31ECKU MAXM TIME: I HRS 30 MIN
COURSE NAME: SIGNALS AND SYSTEMS
COURSE CREDIT. 04 MAXM. MARKS: 30
,\OTt':All questions are compulsory.
1. Convolve two signals.
x(n)-f-l u[n| and h|n| u|n]-u[n- 10J
2. Consider a causal and stable LT1 systems S whose input xjn) and y(n] are reluicd through the second order difference equation:
Determine the frequency response. H(e'*) and impulse response, hfn] of ihe system S. [5j
3. Find the Laplace transform of x(t) = {lcoswl)u(l) [4]
4. The transfer function of svstcm is given os
Xs-2)
H(s)-
(s + 2Ks* + 4s 3)
Determine the impulse response of the system if system is
(a) stable
(b) causal
(c) stable and causal [6]
5. Find the z-transform of
x[nj
15)
6. Using z-transform. obtain unit-impulsc response of the system, described by following difference equation:
y|n]t jy(n-l]-y[n-2J = xfn|
[5]
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| Earning: Approval pending. |
